1111311 has 6 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 740868.

The previous prime is 1111301. The next prime is 1111333. The reversal of 1111311 is 1131111.

It is not a de Polignac number, because 1111311 - 2⁶ = 1111247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 123479 = 1111311 / (1 + 1 + 1 + 1 + 3 + 1 + 1).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1111293 and 1111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61731 + ... + 61748.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

2^1111311 is an apocalyptic number.

1111311 is a deficient number, since it is larger than the sum of its proper divisors (493929).

1111311 is a wasteful number, since it uses less digits than its factorization.

1111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123485 (or 123482 counting only the distinct ones).

The product of its digits is 3, while the sum is 9.

The square root of 1111311 is about 1054.1873647507. The cubic root of 1111311 is about 103.5806275052.

Adding to 1111311 its reverse (1131111), we get a palindrome (2242422).

It can be divided in two parts, 11 and 11311, that multiplied together give a palindrome (124421).

The spelling of 1111311 in words is "one million, one hundred eleven thousand, three hundred eleven".